7,965,620

2² × 5 × 13 × 30637

7,965,620 factors as 2^2 × 5 × 13 × 30637. Its 24 positive divisors give a proper-divisor sum of 10,049,524, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 30637

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,015,144

Proper Divisor Sum 10,049,524

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7965599 ← → #7965623

Radix Representation

Decimal	7965620
Binary	11110011000101110110100 (23 bits)
Octal	0o36305664
Hexadecimal	0x798BB4

Divisor Catalog (24)

Collatz Trajectory (230 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,965,620 3,982,810 1,991,405 5,974,216 2,987,108 1,493,554 746,777 2,240,332 1,120,166 560,083 1,680,250 840,125 2,520,376 1,260,188 630,094 315,047 945,142 472,571 1,417,714 708,857 2,126,572 1,063,286 531,643 1,594,930 797,465 2,392,396 1,196,198 598,099 1,794,298 897,149 2,691,448 1,345,724 672,862 336,431 1,009,294 504,647 1,513,942 756,971 2,270,914 1,135,457 3,406,372 1,703,186 851,593 2,554,780 1,277,390 638,695 1,916,086 958,043 2,874,130 1,437,065 4,311,196 2,155,598 1,077,799 3,233,398 1,616,699 4,850,098 2,425,049 7,275,148 3,637,574 1,818,787

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